We show that any a-priori possible entropy value is realized by an ergodic IRS, in free groups and in SL2(Z). This is in stark contrast to what may happen in SLn(Z) for n ≥ 3, where only the trivial entropy values can be realized by ergodic IRSs.
|State||Published - 1 Jun 2021|
- Mathematics - Dynamical Systems
- Mathematics - Group Theory
- Mathematics - Probability